Let A = {1, 2}, B = {3, 6), function f : A → B be defined by f(x) = 3x and function
g: A → B be defined by g(x) = x² + 2. Show that f = g.
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Simply write the ordered pairs as follows:
fun. A to B
put x=1 we get 3 as fun. A toB = 3x (x=1)
put x=2 we get 6 similarly
now fun. g
put x= 1 we get 3 as 1 square = 1 and +2 become 3
now
put x =2 we get 6 as 2 square =4 and +2 become 6
hence functions are equal
f=g
ordered pairs are
f={(1,3) , (2,6)}
g={(1,3) ,(2,6)}
hope it's helpful
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